Numerical approximation of time-fractional Burgers-type equation

被引：2
|
作者：
Yang, Miaomiao [1 ]
机构：
[1] Zhengzhou Business Univ, Gen Educ Ctr, Zhengzhou, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Time-fractional Burgers-type equation; Local discontinuous Galerkin method; Stability analysis; Error estimates; DISCONTINUOUS GALERKIN METHOD;
D O I：
10.1186/s13662-020-02578-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we analyze and test a local discontinuous Galerkin method for solving the Burgers-type equation. The proposed numerical method, which is high-order accurate, is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. We prove that the scheme is unconditionally stable and convergent. Some numerical tests are provided to illustrate the accuracy and capability of the scheme.
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收藏
页数：11
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